Simple unidirectional few-cycle electromagnetic pulses

被引:0
|
作者
Plachenov, Alexandr B. [1 ]
So, Irina A. [2 ]
Kiselev, Aleksei P. [3 ,4 ]
机构
[1] Russian Technol Univ, MIREA, 78 Vernadsky Ave, Moscow 119454, Russia
[2] Nevinpat, 7 Pirogova Ln, St Petersburg 190000, Russia
[3] Steklov Math Inst, St Petersburg Dept VA, 27 Fontanka Emb, St Petersburg 191023, Russia
[4] Russian Acad Sci, Inst Problems Mech Engn, VO 61 Bolshoi Ave, St Petersburg 199178, Russia
基金
俄罗斯科学基金会;
关键词
WAVE-EQUATION; LIGHT;
D O I
10.1364/JOSAB.538479
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The paper is aimed at constructing exact solutions of Maxwell's equations for homogeneous media, convenient for modeling ultrashort pulses of various shapes. An analytical description of a family of simple closed-form few-cycle electromagnetic pulses that are free of backward propagating components and have finite energy is presented. The mathematical framework rests on using, as a component of Hertz's potential, a certain axisymmetric exact solution of the linear wave equation, which is studied here in detail. Depending on the choice of free parameters in this solution and on polarization of the potential, the resulting electromagnetic pulses can be pancake-like, ball-like, needle-like, and doughnut-like. Expressions for spectra of the electric field components of the pulses are obtained. Based on the derived formulas, typical examples of pulses with different types of localization and their spectra are calculated and plotted. (c) 2024 Optica Publishing Group. All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved.
引用
收藏
页码:2606 / 2612
页数:7
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